Optical fiber with reduced attenuation loss

ABSTRACT

An optical fiber having an internal glass portion, a first coating layer surrounding the glass portion and a second coating layer surrounding the first coating layer. The first coating layer is formed from a cured polymeric material obtained by curing a radiation curable composition having a radiation curable oligomer having a backbone derived from polypropylene glycol and a dimer acid based polyester polyol. The cured polymeric material has: (a) a hardening temperature (Th) from −10° C. to about −20° C. and a modulus measured at the Th lower than 5.0 MPa; or (b) a hardening temperature (Th) from −20° C. to about −30° C. and a modulus measured at the Th lower than 20.0 MPa; or (c) a hardening temperature (Th) lower than about −30° C. and a modulus measured at the Th lower than 70.0 MPa.

FIELD OF THE INVENTION

The present invention relates to an optical fiber having a reduced attenuation of the transmitted signal.

BACKGROUND ART

Optical fibers commonly consist of a glass portion (typically with a diameter of about 120-130 μm), inside which the transmitted optical signal is confined, The glass portion is typically protected by an outer coating, typically of polymeric material. This protective coating typically comprises a first coating layer positioned directly onto the glass surface, also known as the “primary coating”, and of at least a second coating layer, also known as “secondary coating”, disposed to surround said first coating. In the art, the combination of primary coating and secondary coating is sometimes also identified as “primary coating system”, as both these layer are generally applied during the drawing manufacturing process of the fiber, in contrast with “secondary coating layers” which may be applied subsequently. In this case, the coating in contact with the glass portion of the fiber is called “inner primary coating” while the coating on the outer surface of the fiber is called “outer primary coating”. In the present description and claims, the two coating layers will be identified as primary and secondary coating, respectively, and the combination of the two as “coating system”.

The thickness of the primary coating typically ranges from about 25 μm to about 35 μm, while the thickness of the secondary coating typically ranges from about 10 μm to about 30 μm.

These polymer coatings may be obtained from compositions comprising oligomers and monomers that are generally crosslinked by means of UV irradiation in the presence of a suitable photo-initiator. The two coatings described above differ, inter alia, in the mechanical properties of the respective materials. As a matter of fact whereas the material which forms the primary coating is a relatively soft material, with a relatively low modulus of elasticity at room temperature, the material which forms the secondary coating is relatively harder, having higher modulus of elasticity values at room temperature. The coating system is selected to provide environmental protection to the glass fiber and resistance, inter alia, to the well-known phenomenon of microbending, which can lead to attenuation of the signal transmission capability of the fiber and is therefore undesirable. In addition, coating system is designed to provide the desired resistance to physical handling forces, such as those encountered when the fiber is submitted to cabling operations.

The optical fiber thus composed usually has a total diameter of about 250 μm. However, for particular applications, this total diameter may also be smaller; in this case, a coating of reduced thickness is generally applied.

In addition, as the operator must be able to identify different fibers with certainty when a plurality of fibers are contained in the same housing, it is convenient to color the various fibers with different identifying colors. Typically, an optical fiber is color-identified by surrounding the secondary coating with a third colored polymer layer, commonly known as “ink”, having a thickness typically of between about 2 μm and about 10 μm, or alternatively by introducing a colored pigment directly into the composition of the secondary coating.

Among the parameters which characterize primary and secondary coatings performances, elastic modulus and glass transition temperature of the cross-linked materials are those which are generally used to define the mechanical properties of the coating. When referring to the elastic modulus it should be clarified that in the patent literature this is sometimes referred to as “shear” modulus G (or modulus measured in shear), while in some other cases as “tensile” modulus E′ (or modulus measured in tension). The determination of said elastic moduli can be made by means of DMA (Dynamic mechanical analysis) which is a thermal analysis technique that measures the properties of the materials as they are deformed under periodical stress. For polymeric materials, the ratio between the two moduli is generally 1:3, i.e. the tensile modulus of a polymeric material is typically about three times the shear modulus (see for instance the reference book Mechanical Properties and Testing of Polymers, pp. 183-186; Ed. G. M. Swallowe)

Examples of coating systems are disclosed, for instance, in U.S. Pat. No. 4,962,992. In said patent, it is stated that a soft primary coating is more likely to resist to lateral loading and thus to microbending. It thus teaches that an equilibrium shear modulus of about 70-200 psi (0.48-1.38 MPa) is acceptable, while it is preferred that such modulus being of 70-150 psi (0.48-1.03 MPa). These values correspond to a tensile modulus E′ of 1.4-4.13 MPa and 1.4-3.1 MPa, respectively. As disclosed in said patent, a too low equilibrium modulus may cause fiber buckling inside the primary coating and delamination of the coating system. In addition, said patents suggests that the glass transition temperature (Tg) of the primary coating material should not exceed −40° C., said Tg being defined as the temperature, determined by means of stress/strain measurement, at which the modulus of the material changes from a relatively high value occurring in the lower temperature, glassy state of the material to a lower value occurring in the transition region to the higher temperature, elastomeric (or rubbery) state of the material.

Other examples of coating compositions are disclosed, for instance, in WO 01/05724, which, discloses radiation curable fiber optic coating materials comprising a (meth)acrylate urethane compound derived from a polypropylene glycol or comprising a (meth)acrylate urethane compound derived from a polypropylene glycol and a further polyol including a polyester polyol. These compositions may be used, once cured, as coating material for optical fibers and optical fiber ribbons, including primary coatings, secondary coatings, coloured secondary coatings, inks, matrix materials and bundling materials. In the introductory part, said document mentions that primary coatings should in particular have a very low Tg.

However, as noticed by the Applicant, although a primary coating has a relatively low value of Tg (as generally required by the art), the value of the modulus of the coating material may nevertheless begin to increase at temperatures much higher than the Tg, typically already above 0° C. Thus, while a low value of Tg simply implies that the transition of said coating from its rubbery to its glassy state takes place at relatively low temperatures, no information can be derived as to which would be the variation of the modulus upon temperature decrease. As a matter of fact, an excessive increase of the modulus of the primary coating upon temperature decrease may negatively affect the optical performances of the optical fiber, in particular at the low temperature values, thus causing undesirable attenuation of the transmitted signal due to microbending.

Thus, as observed by the applicant, what seems important for controlling the microbending of an optical fiber is the temperature at which the coating material begins the transition from its rubbery state (soft) to its glassy state (hard), which temperature will be referred in the following of this specification and claims as the “hardening temperature” of the material, or Th. In particular, attention should be paid to select a composition which still shows a relatively low modulus at said Th, so that an excessive increase of the modulus upon further temperature decrease can be avoided.

In the present description and claims, the term “modulus” is referred to the modulus of a polymeric material as determined by means of a DMA test in tension, as illustrated in detail in the test method section of the experimental part of the present specification.

In the present description and claims, the term “hardening temperature” is referred to the transition temperature at which the material shows an appreciable increase of its modulus (upon temperature decrease), thus indicating the beginning of an appreciable change from a relatively soft and flexible material (rubber-like material) into a relatively hard and brittle material (glass-like material). The mathematical determination of Th will be explained in detail in the following of the description.

According to the present invention, the Applicant has thus found that attenuation losses caused by microbending onto a coated optical fibers, particularly at the low exercise temperatures, can be reduced by suitably controlling the increase of the modulus at the low temperatures. In particular, the Applicant has found that said microbending losses can be reduced by using a polymeric material for the primary coating having a low hardening temperature and a comparatively low modulus at said temperature. In addition, the Applicant has found that by selecting coating compositions having a relatively low equilibrium modulus, said attenuation losses can be further controlled over the whole operating temperature range.

SUMMARY OF THE INVENTION

According to a first aspect, the present invention relates to an optical fiber comprising an internal glass portion, a first coating layer disposed to surround said glass portion and a second coating layer disposed to surround said first coating layer, wherein said first coating layer is formed from a cured polymeric material obtained by curing a radiation curable composition comprising a, radiation curable oligomer comprising a backbone derived from polypropylene glycol and a dimer acid based polyester polyol, said cured polymeric material having:

-   -   a) a hardening temperature (Th) of from −10° C. to about −20° C.         and a modulus measured at said Th of less than 5.0 MPa; or     -   b) a Th of from −20° C. to about −30° C. and a modulus measured         at said Th of less than 20.0 MPa; or     -   c) a Th lower than about −30° C. and a modulus measured at said         Th of less than 70.0 MPa.

Preferably said material forming said coating layer has:

-   -   a) a Th of from −10° C. to about −20° C. and a modulus measured         at said Th of less than 4.0 MPa; or     -   b) a Th of from −20° C. to about −30° C. and a modulus measured         at said Th of less than 15.0 MPa; or     -   c) a Th lower than about −30° C. and a modulus measured at said         Th of less than 50.0 MPa.

Preferably, the equilibrium modulus of said polymeric material is lower than about 1.5 MPa, more preferably lower than about 1.4 MPa, much more preferably lower than about 1.3 MPa.

According to a preferred embodiment the glass transition temperature of the material is not higher than about −30° C., more preferably not higher than −40° C. and much more preferably not higher than −50° C.

Preferably, a standard single optical fiber according to the invention shows a microbending sensitivity at 1550 nm at a temperature of −30° C. of less than 1.5 (dB/km)(g/mm) more preferably of less than 1.2 (dB/km)(g/mm), even more preferred less than 1.0 (dB/km)(g/mm), and most preferred, less than 0.8 (dB/km)(g/mm), when subjected to the expandable drum microbending test.

The term standard single mode fiber refers herein to optical fibers having a refractive index profile of the step-index kind, i.e. a single segment profile, with a single variation of the refractive index of 0.2%-0.4%, adore radius of about 4.0-4.5 μm and a MAC value of about 7.8-8.6.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 shows a schematic cross-section of an optical fiber according to the invention;

FIG. 2 shows an illustrative DMA plot of a polymeric material for an optical fiber according to the invention;

FIG. 3 shows the curve corresponding to the first derivative of the DMA plot of FIG. 2;

FIGS. 4 a to 4 c show the experimental DMA plots of three primary coating materials suitable for an optical fiber according to the invention;

FIG. 5 shows the experimental DMA plot of a prior art primary coating material.

FIG. 6 shows an illustrative embodiment of a drawing tower for manufacturing an optical fiber according to the invention.

DESCRIPTION OF PREFERRED EMBODIMENTS

As shown in FIG. 1, an optical fiber according to the invention comprises an internal glass portion 101, a first polymeric coating layer 102, also known as primary coating, disposed to surround said glass portion and a second polymeric coating layer 103, also known as secondary coating, disposed to surround said first polymeric layer.

As mentioned above, an optical fiber according to the present invention comprises a primary coating layer formed from a polymeric material having a relatively low hardening temperature and a correspondingly low modulus at said temperature.

To better explain the meaning of the hardening temperature, reference is made to the curve shown in FIG. 1. This curve, typically obtained by a DMA (Dynamic Mechanical Analysis), represents the variation of the modulus of a polymeric material vs. temperature. As shown by this curve, the polymeric material has a relatively high value of modulus at the low temperatures (glassy state, portion “a” of the while said value becomes much lower when the polymer is in its rubbery state, at the higher temperatures (portion “b” of the curve, equilibrium modulus). The oblique portion “d” of the curve represents the transition of the material from the glassy to the rubbery state. The transition between the glassy state and the rubbery state is known in the art as the “glass transition” of the material and is generally associated to a specific temperature (Tg, glass transition temperature). As apparent from the curve, the transition between the glassy and the rubbery state takes place over a relatively wide range of temperatures. For apparent practical reasons, methods has thus been developed for determining a specific Tg value for each polymer. One of this methods (see for instance P. Haines, “Thermal Methods of Analysis”, p. 133. Blackie Academic and professionals ed.), which is the one used for determining the Tg values indicated in the present description and claims, comprises determining the intersection point of two lines. The first line (identified as “A” in FIG. 2) is determined by interpolating the points of the DMA curve in the plateau region of the glassy state (portion “a” of the curve). In the practice, for primary coating compositions the interpolation is calculated for the points in the region from −60° C. to −80° C. The second line (identified as “D” in FIG. 2) is determined as the tangent to the inflection point of the DMA curve in the oblique portion “d” of said curve. The inflection point and the inclination of the tangent in that point can be determined as usual by means of the first derivative of the DMA curve, as shown in FIG. 3. According to the curve shown in FIG. 3, the abscissa of the minimum point of the curve gives the respective abscissa of the inflection point on the DMA curve of FIG. 2, while the ordinate gives the inclination (angular coefficient) of the tangent line in said inflection point.

In the practice, the derivative of each experimental point is first calculated and then the curve interpolating the derivative points is determined as known in the art. For avoiding unnecessary calculations, only those points falling within a relatively narrow temperature range around the minimum point are taken into account for the regression. Depending from the distribution of the experimental points, this range may vary between 40° C. (about ±20° C. around the minimum point) and 60° C. (about ±20° C. around the minimum point). A 6^(th) degree polynomial curve is considered in general sufficient to obtain an curve to fit with the derivative of the experimental points.

As shown in FIG. 2 the so determined glass transition temperature is of about −62° C.

Similarly to the Tg, also the hardening temperature (Th) of a polymeric material can be determined by the above method. The Th is thus determined as the intersection point between line “B” and the above defined line “D”, as shown in FIG. 2. Line “B” is determined by interpolating the points of the DMA curve in the plateau region of the rubbery state (portion “b” of the curve) i.e. at the equilibrium modulus of the material. In the practice, for primary coating compositions the interpolation is calculated for the points in the region from 20° C. and 40° C.

As shown in FIG. 2, the Th calculated according to the above method will thus be of about −13° C.

As observed by the Applicant, when the cured material forming the primary coating of the optical fiber has a Th lower than about −10° C. and a modulus lower than 5.0 MPa, preferably lower than about 4.0 MPa, at said temperature, the optical performance of the optical fiber can be improved, particularly by reducing its microbending sensitivity, particularly at the low temperatures of exercise, e.g. below 0° C. As a matter of fact, the combination of these two parameters in a cured polymeric material applied as primary coating on an optical fiber according to the invention results in a relatively smooth increase of the modulus upon temperature decrease, thus allowing to control the microbending phenomena down to the lower operating temperature limits, typically −30° C. As further observed by the Applicant, analogous control of the microbending phenomena can be achieved also when the cured polymeric material has a Th lower than −20° C. and a modulus at said temperature lower than 20 MPa, preferably lower than 15 MPa, or when the cured polymeric material has a Th lower than −30° C. and a modulus at said temperature lower than 70 MPa, preferably lower than 50 MPa.

The Applicant has further observed that if the equilibrium modulus of said primary coating is lower than about 1.5 MPa, preferably lower that about 1.4 MPa, more preferably lower than 1.3 MPa, the microbending sensitivity of the fiber can be further reduced, not only at the lower temperatures of the operating range, but also at higher temperatures, e.g. at the room temperature. Said modulus should however preferably be not lower than about 0.5 M Pa, more preferably not lower than 0.8 MPa in order not to negatively affect other properties of the fiber. Furthermore, the glass transition temperature of the cured polymeric material applied as primary coating on an optical fiber according to the invention is preferably not higher than about −30° C., more preferably not higher than −40° C. and much more preferably not higher than −50° C.

All the above indicated parameters, i.e. modulus, Th and Tg can be determined by subjecting a polymeric material to a DMA in tension performed according to the methodology illustrated in the experimental part of the present specification, and by evaluating the respective DMA plot of the material according to the above defined procedure.

Radiation curable carrier systems which are suitable for forming a composition to be used as primary coating in an optical fiber according to the invention contain one or more radiation-curable oligomers or monomers (reactive diluents) having at least one functional group capable of polymerization when exposed to actinic radiation. Suitable radiation-curable oligomers or monomers are now well known and within the skill of the art. Commonly, the radiation-curable functionality used is ethylenic unsaturation, which can be polymerized preferably through radical polymerization. Preferably, at least about 80 mole %, more preferably, at least about 90 mole %, and most preferably substantially all of the radiation-curable functional groups present in the oligomer are acrylate or methacrylate. For the sake of simplicity, the term “acrylate” as used throughout the present application covers both acrylate and methacrylate functionality.

A primary coating for an optical fiber according to the present invention is made from a radiation curable coating composition i comprising a radiation curable oligomer, said oligomer comprising a backbone derived from polypropylene glycol and a dimer acid based polyester polyol. Preferably, the oligomer is a urethane acrylate oligomer comprising said backbone, more preferably a wholly aliphatic urethane acrylate oligomer.

The oligomer can be made according to methods that are well known in the art. Preferably, the urethane acrylate oligomer can be prepared by reacting

(A1) the polypropylene glycol, and

(A2) the dimer acid based polyester polyol,

(B) a polyisocyanate, and

(C) a (meth)acrylate containing a hydroxyl group.

Given as examples of the process for manufacturing the urethane acrylate by reacting these compounds are

(i) reacting said glycol (A1 and A2), the polyisocyanate, and the hydroxyl group-containing (meth)acrylate altogether; or

(ii) reacting said glycol and the polyisocyanate, an reacting the resulting product with the hydroxyl group-containing (meth)acrylate; or

(iii) reacting the polyisocyanate and the hydroxyl group-containing (meth)acrylate, and reacting the resulting product with said glycol; or

(iv) reacting the polyisocyanate and the hydroxyl group-containing (meth)acrylate, reacting the resulting product with said glycol, and reacting the hydroxyl group-containing (meth)acrylate once more.

Polypropylene glycol (A1)—as used herein—is understood to refer to a polypropylene glycol comprising composition having a plurality of polypropylene glycol moieties. Preferably, said polypropylene glycol has on average a number average molecular weight ranging from 1,000 to 13,000, more preferably ranging from 1,500 to 8,000, even more preferred from 2,000 to 6,000, and most preferred from 2,500 to 4,500. According to a preferred embodiment, the amount of unsaturation (referred to the meq/g unsaturation for the total composition) of said polypropylene glycol is less than 0.01 meq/g, more preferably between 0.0001 and 0.009 meq/g.

Polypropylene glycol includes 1,2-polypropylene glycol, 1,3-polypropylene glycol and mixtures thereof, with 1,2-polypropylene glycol being preferred. Suitable polypropylene glycols are commercially available under the trade names of, for example, Voranol P1010, P 2001 and P 3000 (supplied by Dow), Lupranol 1000 and 1100 (supplied by Elastogran), ACCLAIM 2200, 3201, 4200, 6300, 8200, and Desmophen 1111 BD, 1112 BD, 2061 BD, 2062 BD (all manufactured by Bayer), and the like. Such urethane compounds may be formed by any reaction technique suitable for such purpose.

Dimer acid based polyester polyol (A2)—as used herein—is understood to refer to a hydroxyl-terminated polyester polyol which has been made by polymerizing an acid component and a hydroxyl-component and which has dimer acid residues in its structure, wherein said dimer acid residues are residues derived from the use of a dimer acid as at least part of the acid-component and/or by the use of the diol derivative of a dimer acid as at least part of the hydroxyl-component.

Dimer acids (and esters thereof) are a well known commercially available class of dicarboxylic acids (or esters). They are normally prepared by dimerizing unsaturated long chain aliphatic monocarboxylic acids, usually of 13 to 22 carbon atoms, or their esters (e.g. alkyl esters). The dimerization is thought by those in the art to proceed by possible mechanisms which include Diels-Alder, free radical, and carbonium ion mechanisms. The dimer acid material will usually contain 26 to 44 carbon atoms. Particularly, examples include dimer acids (or esters) derived from C-18 and C-22 unsaturated monocarboxylic acids (or esters) which will yield, respectively, C-36 and C-44 dimer acids (or esters). Dimer acids derived from C-18 unsaturated acids, which include acids such as linoleic and linolenic are particularly well known (yielding C-36 dimer acids).

The dimer acid products will normally also contain a proportion of trimer acids (e.g. C-54 acids when using C-18 starting acids), possibly even higher oligomers and also small amounts of the monomer acids. Several different grades of dimer acids are available from commercial sources and these differ from each other primarily in the amount of monobasic and trimer acid fractions and the degree of unsaturation.

Usually the dimer acid (or ester) products as initially formed are unsaturated which could possibly be detrimental to their oxidative stability by providing sites for crosslinking or degradation and so resulting in changes in the physical properties of the coating films with time. It is therefore preferable (although not essential) to use dimer acid products which have been hydrogenated to remove a substantial proportion of the unreacted double bonds.

Herein the term “dimer acid” is used to collectively convey both the diacid material itself or ester-forming derivatives thereof (such as lower alkyl esters) which would act as an acid component in polyester synthesis and includes (if present) any trimer or monomer.

The dimer acid based polyester polyol preferably has on average a number average molecular weight ranging from 1,000 to 13,000, more preferably ranging from 1,500 to 8,000, even more preferred from 2,000 to 6,000, and most preferred from 2,500 to 4,000.

Examples of these dimer acid based polyester polyols are given in EP 0 539 030 B1 which polyols are incorporated herein by reference. As commercially available products, Priplast 3190, 3191, 3192, 3195, 3196, 3197, 3198, 1838, 2033 (manufactured by Uniqema), and the like can be given.

The ratio of polypropylene glycol to dimer add based polyester polyol in the oligomer may be ranging from 1:5 to 5:1, preferably ranging from 1:4 to 4:1, and more preferably ranging from 1:2 to 2:1, even more preferably, polypropylene glycol and dimer acid based polyester polyol are present in an equimolar ratio.

Given as examples of the polyisocyanate (B) are 2,4-tolylene diisocyanate, 2,6-tolylene diisocyanate, 1,3-xylylene diisocyanate, 1,4-xylylene diisocyanate, 1,5-naphthalene diisocyanate, m-phenylene diisocyanate, p-phenylene diisocyanate, 3,3′-dimethyl-4,4′-diphenylmethane diisocyanate, 4,4′-diphenylmethane diisocyanate, 3,3′-dimethylphenylene diisocyanate, 4,4′-biphenylene diisocyanate, 1,6-hexane diisocyanate, isophorone diisocyanate, methylenebis(4-cyclohexylisocyanate), 2,2,4-trimethylhexamethylene diisocyanate, bis(2-isocyanatoethyl)fumarate, 6-isopropyl-1,3-phenyl diisocyanate, 4-diphenylpropane diisocyanate, hydrogenated diphenylmethane diisocyanate, hydrogenated xylylene diisocyanate, tetramethyl xylylene diisocyanate, lysine isocyanate, and the like. These polyisocyanate compounds may be used either individually or in combinations of two or more. Preferred isocyanates are tolylene di-isocyanate, isophorone di-isocyanate, and methylene-bis (4-cyclohexylisocyanate). Most preferred are wholly aliphatic based polyisocyanate compounds, such as isophorone di-isocyanate, and methylene-bis (4-cyclohexylisocyanate).

Examples of the hydroxyl group-containing acrylate (C) include,, (meth)acrylates derived from (meth)acrylic acid and epoxy and (meth)acrylates comprising alkylene oxides, more in particular, 2-hydroxyethyl(meth)acrylate, 2-hydroxypropylacrylate and 2-hydroxy-3-oxyphenyl(meth)acrylate. Acrylate functional groups are preferred over methacrylates.

The ratio of the polyol (A) [said polyol (A) comprising (A1) and (A2)], the polyisocyanate (B), and the hydroxyl group-containing acrylate (C) used for preparing the urethane acrylate is determined so that 1.1 to 3 equivalents of an isocyanate group included in the polyisocyanate and 0.1 to 1.5 equivalents of a hydroxyl group included in the hydroxyl group-containing (meth)acrylate are used for one equivalent of the hydroxyl group included in the polyol.

The number average molecular weight of the urethane (meth)acrylate oligomer used in the composition of the present invention is preferably in the range from 1200 to 20,000, and more preferably from 2,200 to 10,000. If the number average molecular weight of the urethane (meth)acrylate is less than 100, the resin composition tends to solidify; on the other hand, if the number average molecular weight is larger than 20,000, the viscosity of the composition becomes high, making handling of the composition difficult.

The urethane (meth)acrylate oligomer is preferably used in an amount from 10 to 90 wt %, more preferably from 20 to 80 wt %, even more preferably from 30 to 70 wt. %, and most preferred from 40 to 70 wt. % of the total amount of the resin composition. When the composition is used as a coating material for optical fibers, the range from 20 to 80 wt. % is particularly preferable to ensure excellent coatability, as well as superior flexibility and long-term reliability of the cured coating.

A radiation-curable composition to be applied as a primary coating on an optical fiber according to the invention may also contain one or more reactive diluents (B) that are used to adjust the viscosity. The reactive diluent can be a low viscosity monomer having at least one functional group capable of polymerization when exposed to actinic radiation. This functional group may be of the same nature as that used in the radiation-curable oligomer. Preferably, the functional group of each reactive diluent is capable of copolymerizing with the radiation-curable functional group present on the other radiation-curable diluents or oligomer. The reactive diluents used can be mono- and/or multifunctional, preferably (meth)acrylate functional.

A suitable radiation-curable primary coating composition comprises from about 1 to about 80 wt. % of at least one radiation-curable diluent. Preferred amounts of the radiation-curable diluent include from about 10 to about 60 wt. %, more preferably from about 20 to about 55 wt. %, even more preferred ranging from 25 to 40 wt. %, based on the total weight of the coating composition.

Generally, each reactive diluent has a molecular weight of less than about 550 and a viscosity of less than about 500 mPa.s

For example, the reactive diluent can be a monomer or a mixture of monomers having an acrylate or vinyl ether functionality and a C₄-C₂₀ alkyl or polyether moiety. Examples of acrylate functional monofunctional diluents are acrylates containing an alicyclic structure such as isobornyl acrylate, bornyl acrylate, dicyclopentanyl acrylate, cyclohexyl acrylate, and the like, 2-hydroxyethyl acrylate, 2-hydroxypropyl acrylate, 2-hydroxybutyl acrylate, methyl acrylate, ethyl acrylate, propyl acrylate, isopropyl acrylate, butyl acrylate, amyl acrylate, isobutyl acrylate, t-butyl acrylate, pentyl acrylate, isoamyl acrylate, hexyl acryl ate, heptyl acrylate, octyl acrylate, isooctyl acrylate, 2-ethylhexyl acrylate, nonyl acrylate, decyl acrylate, isodecyl acrylate, undecyl acrylate, dodecyl acrylate, lauryl acrylate, stearyl acrylate, isostearyl acrylate, tetrahydrofurfuryl acrylate, butoxyethyl acrylate, ethoxydiethylene glycol acrylate, benzylacrylate, phenoxyethylacrylate, polyethylene glycol monoacrylate, polypropylene glycol monoacrylate, methoxyethylene glycol acrylate, ethoxy ethyl acrylate, methoxypolyethylene glycol acrylate, methoxypropylene glycol acrylate, dimethylaminoethyl acrylate, diethylamino ethyl acrylate, 7-amino-3,7-dimethyloctyl acrylate, acrylate monomers shown by the following formula (1),

wherein R⁷ is a hydrogen atom or a methyl group, R⁸ is an alkylene group having 2-6, and preferably 2-4 carbon atoms, R⁹ is a hydrogen atom or an organic group containing 1-12 carbon atoms or an aromatic ring, and r is an integer from 0 to 12, and preferably from 1 to 8.

Of these, in order to obtain a cured polymeric material having a suitably low hardening temperature and a suitably low modulus at said temperature, long aliphatic chain-substituted monoacrylates, such as, for example decyl acrylate, isodecyl acrylate, tridecyl acrylate, lauryl acrylate, and the like, are preferred and alkoxylated alkyl phenol acrylates, such as ethoxylated and propoxylated nonyl phenol acrylate are further preferred.

Examples of non-acrylate functional monomer diluents are N-vinylpyrrolidone, N-vinyl caprolactam, vinylimidazole, vinylpyridine, and the like.

These N-vinyl monomers preferably are present in amounts between about 1 and about 20% by weight, more preferably less than about 10% by weight, even more preferred ranging from 2 to 7% by weight.

According to a preferred embodiment, the polymeric material applied as primary coating on an optical fiber according to the invention is made from a radiation curable composition comprising at least one monofunctional reactive diluent (having an acrylate or vinyl ether functionality), said monofunctional diluent(s) being present in amounts ranging from 10 to 50 wt. %, preferably ranging from 20 to 40 wt. %, more preferably from 25 to 38 wt. %. The amount of mono-acrylate functional reactive diluents preferably ranges from 10 to 40 wt. %, more preferably from 15 to 35 wt. % and most preferred from 20 to 30 wt. %.

The reactive diluent can also comprise a diluent having two or more functional groups capable of polymerization. Examples of such monomers include: C₂-C₁₈ hydrocarbondiol diacrylates, C₄-C₁₈ hydrocarbon divinylethers,

C₃-C₁₈ hydrocarbon triacrylates, and the polyether analogues thereof, and the like, such, as 1,6-hexanedioldiacrylate, trimethylolpropane triacrylate, hexanediol divinylether, triethyleneglycol diacrylate, pentaerythritol triacrylate, ethoxylated bisphenol-A diacrylate, and tripropyleneglycol diacrylate.

Such multifunctional reactive diluents are preferably (meth)acrylate functional, preferably difunctional (component (B1)) and trifunctional (component (B2)).

Preferably, alkoxylated aliphatic polyacrylates are used, such as ethoxylated hexanedioldiacrylate, propoxylated glyceryl triacrylate or propoxylated trimethylol propane triacrylate.

Preferred examples of diacrylates are alkoxylated aliphatic glycol diacrylate, more preferably, propoxylated aliphatic glycol diacrylate. A preferred example of a triacrylate is trimethylol propane triacrylate.

According to a preferred embodiment the polymeric material applied as primary coating on an optical fiber according to the invention is made from a radiation curable which comprises, a multifunctional reactive diluent n amountsranging from 0.5-10 wt. %, more preferably ranging from 1 to 5 wt. %, and most preferred from 1.5 to 3 wt. %.

Without being bound to any particular theory, the present inventors believe that the combination of the oligomer according to the present invention in amounts of less than about 75 wt. % (preferably less than about 70 wt. %) with a total amount of monofunctional reactive diluents of at least about 15 wt. % (more preferably, at least about 20 wt. %, even more preferably at least about 25 wt. % and most preferred at least about 30 wt. %) aids in achieving a primary coating composition, that after cure, has an acceptably low hardening temperature and low modulus at said temperature.

It is further preferred that the composition comprises a mixture of at least two monofunctional reactive diluents, more preferably, one of said reactive diluents being substituted with a long aliphatic chain; eve n more preferably, the composition contains two long aliphatic chain-substituted monoacrylates. Preferably, at least about 10 wt. %, more preferably at least about 12 wt. % is present of said at least one long aliphatic chain-substituted monoacrylate.

A liquid curable resin composition suitable to be applied as a primary coating layer on an optical fiber according to the present invention can be cured by radiation. Here, radiation includes infrared radiation, visible rays, ultraviolet radiation, X-rays, electron beams, α-rays, β-rays, γ-rays, and the like. Visible and UV radiation are preferred.

The liquid curable resin composition suitable to be applied as a primary coating layer on an optical fiber according to the present invention preferably comprises a photo-polymerization initiator. In addition, a photosensitizer can added as required. Given as examples of the photo-polymerization initiator are 1-hydroxycyclohexylphenyl ketone, 2,2-dimethoxy-2-phenylacetophenone, xanthone, fluorenone, benzaldehyde, fluorene, anthraquinone, triphenylamine, carbazole, 3-methylacetophenone, 4-chlorobenzophenone, 4,4′-dimethoxybenzophenone, 4,4′-diaminobenzophenone, Michler's ketone, benzoin propyl ether, benzoin ethyl ether, benzyl methyl ketal, 1-(4-isopropylphenyl)-2-hydroxy-2-methylpropan-1-one, 2-hydroxy-2-methyl-1-phenylpropan-1-one, thioxanethone, diethylthioxanthone, 2-isopropylthioxanthone, 2-chlorothioxanthone, 2-methyl-1-[4-(methylthio)phenyl]-2-morpholino-propan-1-one, 2,4,6-trimethylbenzoyldiphenylphosphine oxide, bis-(2,6-dimethoxybenzoyl)-2,4,4-trimethylpentylphosphine oxide, bis-(2,4,6-trimethylbenzoyl)-phenylphosphine oxide and the like.

Examples of commercially available products of the photo-polymerization initiator include IRGACURE 184, 369, 651, 500, 907, CGI1700, 1750, 1850, 819, Darocur 1116, 1173 (manufactured by Ciba Specialty Chemicals Co., Ltd.), Lucirin LR8728 (manufactured by BASF), Ubecryl P36 (manufactured by UCB), and the like.

The amount of the polymerization initiator use can range from 0.1 to 10 wt %, and preferably from 0.5 to 7 wt %, of the total amount of the components for the resin composition.

In addition to the above-described components, various additives such as antioxidants, UV absorbers, light stabilizers, silane coupling agents, coating surface improvers, heat polymerization inhibitors, leveling agents, surfactants, colorants, preservatives, plasticizers, lubricants, solvents, fillers, aging preventives, and wettability improvers can be used in the liquid curable resin composition of the present invention, as required. Examples of antioxidants include Irganox 1010, 1035, 1076, 1222 (manufactured by Ciba Specialty Chemicals Co., Ltd.), Antigene P, 3C, FR, Sumilizer GA-80 (manufactured by Sumitomo Chemical Industries Co., Ltd.), and the like; examples of UV absorbers include Tinuvin P, 234, 320, 326, 327, 328, 329, 213 (manufactured by Ciba Specialty Chemicals Co., Ltd.), Seesorb 102, 103, 110, 501., 202, 712, 704 (manufactured by Sypro Chemical Co., Ltd.), and the like; examples of light stabilizers include Tinuvin 292, 144, 622LD (manufactured by Ciba Specialty Chemicals Co., Ltd.), Sanol LS770 (manufactured by Sankyo Co., Ltd.), Sumisorb TM-061 (manufactured by Sumitomo Chemical Industries Co., Ltd.), and the like; examples of silane coupling agents include aminopropyltriethoxysilane, mercaptopropyltrimethoxy-silane, and methacryloxypropyltrimethoxysilane, and commercially available products such as SH6062, SH6030 (manufactured by Toray-Dow Coming Silicone Co., Ltd.), and KBE903, KBE603, KBE403 (manufactured by Shin-Etsu Chemical Co., Ltd.).

The viscosity of the liquid curable resin composition applied as a primary coating layer on an optical fiber according to the present invention is usually in the range from 200 to 20,000 cP, and preferably, from 2,000 to 15,000 cP.

The primary coating compositions suitable to be applied as a primary coating layer on an optical fiber according present invention, when cured, typically have an elongation-at-break of greater than 80%, more preferably of at least 110%, more preferably at least 150% but not typically higher than 400%.

The compositions suitable to be applied as a primary coating layer on an optical fiber according to the the present invention will preferably have a cure speed of 1.0 J/cm2 (at 95% of maximum attainable modulus) or less, more preferably about 0.7 J/cm²or less, and more preferably, about 0.5 J/cm² or less, and most preferred, about 0.4 J/cm² or less.

An optical fiber according to the invention comprises a second layer of polymeric material (secondary coating) which is disposed to surround said primary coating. Preferably, the polymeric material of said secondary coating is also based on a radiation curable composition. The aforedescribed primary coating is then in turn coated with a secondary coating, of a type known in the art, compatible with the primary coating formulation. For example, if the primary coating has an acrylic base, the secondary coating will also preferably have an acrylic base.

Typically, an acrylic based secondary coating comprises at least one oligomer with acrylate or methacrylate terminal groups, at least one acrylic diluent monomer and at least one photoinitiator.

The oligomer represents generally 40-80% of the formulation by weight. The oligomer commonly consists of a polyurethaneacrylate.

The polyurethaneacrylate is prepared by reaction between a polyol structure, a polyisocyanate and a monomer carrying the acrylic function.

The molecular weight of the polyol structure is indicatively between 500 and 6000 u.a.; it can be entirely of hydrocarbon, polyether polyester, polysiloxane or fluorinated type, or be a combination thereof. The hydrocarbon and polyether structure and their combinations are preferred. A structure representative of a polyether polyol can be, for example, polytetramethylene oxide, polymethyltetra methylene oxide, polymethylene oxide, polypropylene oxide, polybutylene oxide, their isomers and their mixtures. Structures representative of a hydrocarbon polyol are polybutadiene or polyisobutylene, completely or partly hydrogenated and functionalized with hydroxyl groups.

The polyisocyanate can be of aromatic or aliphatic type, such as, for instance, a polyisocyanate (B) as previously described.

The monomer carrying the acrylic function comprises groups able to react with the isocyanic group. Said monomer can be selected, for instance, among the hydroxyl group-containing acrylates (C) as previously illustrated.

The epoxyacrylate is prepared by reacting the acrylic acid with a glycidylether of an alcohol, typically bisphenol A or bisphenol F.

The diluent monomer represents 20-50% of the formulation by weight, its main purpose being to cause the formulation to attain a viscosity of about 5 Pas at the secondary coating application temperature. The diluent monomer, carrying the reactive function, preferably of acrylic type, has a structure compatible with that of the oligomer. The acrylic function is preferred. The diluent monomer can contain an alkyl structure, such as isobornylacrylate, hexanediacrylate, dicyclopentadiene acrylate, trimethylolpropane-triacrylate, or aromatic such as nonylphenyletheracrylate, polyethyleneglycol-phenyletheracrylate and acrylic derivatives of bisphenol A.

A photoinitiator, such as those previously illustrated is preferably aded to the composition. Further additives, such as inhibitors inhibiting polymerization by the effect of temperature, light stabilizers, levelling agents and detachment promotors can also be added.

A typical formulation of a cross-linkable system for secondary coatings comprises about 40-70% of polyurethaneacrylate, epoxyacrylate or their mixtures, about 30-50% of diluent monomer, about 1-5% of photoinitiator and about 0.5-5% of other additives.

An example of a formulation usable as the secondary coating of the invention is that marketed under the name of DeSolite® 3471-2-136 (DSM). The fibres obtained thereby can be used either as such within optical cables, or can be combined, for example in ribbon form, by incorporation into a common polymer coating, of a type known in the art (such as Cablelite® 3287-9-53, DSM), to be then used to form an optical cable.

Typically, the polymeric material forming the secondary coating has a modulus E′ at 25° C. of from about 1000 MPa to about 2000 MPa and a glass transition temperature (measured as above defined) higher than about 30° C., preferably higher than 40° C. and more preferably higher than about 50° C.

An optical fiber according to the present invention may be produced according to the usual drawing techniques, using, for example, a system such as the one schematically illustrated in FIG. 2.

This system, commonly known as “drawing tower”, typically comprises a furnace (302) inside which a glass optical preform to be drawn is placed. The bottom part of the said preform is heated to the softening point and drawn into an optical fiber (301). The fiber is then cooled, preferably to a temperature of at least 60° C., preferably in a suitable cooling tube (303) of the type described, for example, in patent application WO 99/26891, and passed through a diameter measurement device (304). This device is connected by means of a microprocessor (313 to a pulley (310) which regulates the spinning speed; in the event of any variation in the diameter of the fiber, the microprocessor (313) acts to regulate the rotational speed of the pulley (310), so as to keep the diameter of the optical fiber constant. Then, the fiber passes through a primary coating applicator (305), containing the coating composition in liquid form, and is covered with this composition to a thickness of about 25 μm-35 μm. The coated fiber is then passed through a UV oven (or a series of ovens) (306) in which the primary coating is cured. The fiber coated with the cured primary coating is then passed through a second applicator (307), in which it is coated with the secondary coating and then cured in the relative UV oven (or series of ovens) (308). Alternatively, the application of the secondary coating may be carried out directly on the primary coating before the latter has been cured, according to the “wet-on-wet” technique. In this case, a single applicator is used, which allows the sequential application of the two coating layers, for example, of the type described in patent U.S. Pat. No. 4,474,830. The fiber thus coated is then cured using one or more UV ovens similar to those used to cure the individual coatings.

Subsequent to the coating and to the curing, the fiber may optionally be caused to pass through a device capable of giving a predetermined torsion to this fiber, for example of the type described in international patent application WO 99/67180, for the purpose of reducing the PMD (“polarization Mode Dispersion”) value of this fiber. The pulley (310) placed downstream of the devices illustrated previously controls the spinning speed of the fiber. After this drawing pulley, the fiber passes through a device (311) capable of controlling the tension of the fiber, of the type described, for example, in patent application EP 1 112 979, and is finally collected on a reel (312).

An optical fiber thus produced may be used in the production of optical cables. The fiber may be used either as such or in the form of ribbons comprising several fibers combined together by means of a common coating.

EXAMPLES

The present invention will be explained in more detail below by way of examples, which are not intended to be limiting of the present invention.

Coating Compositions

Coating compositions have been prepared to be applied as a primary coating on optical fibers. The compositions to be applied as a primary coating on an optical fiber according to the invention are indicated as Examples Ex.1, Ex.2 and Ex.3 in the following table 1. TABLE 1 Radiation curable primary coating compositions Ex. 1 Ex. 2 Ex. 3 (Wt. %) (Wt. %) (Wt. %) Oligomer I 68.30 60.30 67.30 Ethoxylated nonyl phenol acrylate 10.00 19.00 10.00 Tridecyl acrylate 10.00 10.00 10.00 Long aliphatic chain-substituted 2.00 2.00 2.00 monoacrylate Vinyl caprolactam 5.00 6.00 5.00 Ethoxylated bisphenol A diacrylate 1.00 — 3.00 Trimethylol propane triacrylate (TMPTA) 1.00 — — 2,4,6-trimethylbenzoyl diphenyl phosphine 1.40 1.40 1.40 oxide Thiodiethylene bis[3-(3,5-di-tert-butyl-4- 0.30 0.30 0.30 hydroxyphenyl)propionate])hydrocin- namate γ-mercapto propyl trimethoxysilane 1.00 1.00 1.00 Oligomer I is the reaction product of isophorone diisocyanate (IPDI), 2-hydroxyethylacrylate (HEA), polypropylene glycol (PPG) and a dimer acid based polyester polyol.

In addition, comparative commercial primary coating DeSolite® 3471-1-129 has been tested as a comparative experiment (Comp. Exp. A in table 2) has also been tested

The equilibrium modulus, the Tg; the Th and the modulus at the Th for each of the above cured primary coating compositions were as given in Table 2(see test method section for details on DMA test and determination of respective parameters on the DMA curve). The corresponding DMA curves of said cured coating compositions are reported in FIGS. 4A, 4B, 4C (examples 1, 2 and 3), and 5 (comparative experiment A), respectively. TABLE 2 Parameters of cured primary coating compositions Tg Th E′ E′ (Th) Ex. 1 −59.1 −12.2 1.1 3.5 Ex. 2 −56.6 −10.8 0.7 2.0 Ex. 3 −63.2 −13.3 1.1 2.7 Comp. A −55.1 −5.6 1.9 3.6

Preparation of Optical Fibers

Coated single mode optical fibers have been manufactured as indicated in the test method section, by using a primary coating compositions of Examples 1-3 (corresponding to optical fibers F1, F1a, F2 and F3 in table 3) or of Comparative Experiment A (fiber Fc in table 3). Commercial secondary coating DeSolite® 3471-2-136 has been used for all fibers

The following single mode optical fibers have been manufactured: Fiber Primary coating MAC F1 Ex. 1 8.0 F1a Ex. 1 7.9 F2 Ex. 2 7.9 F3 Ex. 3 8.35 Fc Comp. A 8.23

The MAC value for each fiber is determined as indicated in the test method section.

Microbending Tests

The results of the microbending test (see details in the test methods section) on single mode optical fibers are reported in the following table 4. TABLE 4 Microbending on SM fibers Microbending Sensitivity (dB/Km)/(g/mm) Fiber MAC −30° C. +22° C. +60° C. F1 8.00 0.75 0.4 1.6 F1a 7.91 0.45 0.31 1.5 F2 7.9 0.4 0.2 1.3 F3 8.35 0.5 0.3 1.6 Fc 8.23 1.6 1.4 2.6

As shown by the above results, an optical fiber according to the invention is less prone to attenuation losses caused by the microbending phenomenon, both at the low as well as high operating temperatures.

Test Methods and Methods of Manufacturing

Curing of the Primary Coatings for Mechanical Testing (Sample Preparation)

A drawdown of the material to be tested was made on a glass plate and cured using a UV processor in inert atmosphere (with a UV dose of 1 J/cm², Fusion D-lamp measured with EIT Uvicure or International Light IL 390 B Radio meter). The cured film was conditioned at 23±2° C. and 50±5% RH for a minimumn of 16 hours prior to testing

A minimum of 6 test specimens having a width of 12.7 mm and a length of 12.5 cm were cut from the cured film.

Dynamic Mechanical Testing

The DMA testing has been carried out in tension according to the following methodology.

Test samples of the cured coating compositions of examples 1-3 and of comparative experiment A were measured using a Rheometrics Solids Analyzer (RSA-11), equipped with:

1) a personal computer having a Windows operating system and having RSI Orchestrator® software (Version V.6.4.1) loaded, and

2) a liquid nitrogen controller system for low-temperature operation.

The test samples were prepared by casting a film of the material, having a thickness in the range of 0.02 mm to 0.4 mm, on a glass plate. The sample film was cured using a UV processor. A specimen approximately 35 mm (1.4 inches) long and approximately 12 mm wide was cut from a defect-free region of the cured film. For soft films, which tend to have sticky surfaces, a cotton-tipped applicator was used to coat the cut specimen with talc powder.

The film thickness of the specimen was measured at five or more locations along the length. The average film thickness was calculated to ±0.001 mm. The thickness cannot vary by more than 0.01 mm over this length. Another specimen was taken if this condition was not met. The width of the specimen was measured at two or more locations and the average value calculated to ±0.1 mm.

The geometry of the sample was entered into the instrument. The-length field was set at a value of 23.2 mm and the-measured values of width and thickness of the sample specimen were entered into the appropriate fields.

Before, conducting the temperature sweep, moisture was removed from the test samples by subjecting the test samples to a temperature of 80° C. in a nitrogen atmosphere for 5 minutes. The temperature sweep used included cooling the test samples to about −60° C. or about −90° C. and increasing the temperature at about 2° C./minute until the temperature reached about 100° C. to about 120° C. The test frequency used was 1.0 radian/second. In a DMTA measurement, which is a dynamic measurement, the following moduli are measured: the storage modulus. E′ (also referred to as elastic modulus), and the loss modulus E″ (also referred to as viscous modulus). The lowest value of the storage modulus E′ in the DMTA curve in the temperature range between 10 and 100° C. measured at a frequency of 1.0 radian/second under the conditions as described in detail above is taken as the equilibrium modulus of the coating.

The corresponding DMA curves are reported in FIGS. 4 a to 4 c (examples 1-3 respectively) and FIG. 5 (comp. Exp. A).

Determination of Glass Transition Temperature (Tg) and Hardening Temperature (Th)

Based on the respective DMA plot of each cured primary coating material, the Tg, Th and modulus at Th of the material have been determined as mentioned in the descriptive part.

Thus, with ref. to FIG. 1, the Tg is determined by the intersection point of line A with line D. Line A is determined by interpolating the points of the DMA curve in the plateau region of the glassy statein the following manner. First of all, the median value of logE′ in the region from −60° C. to −80° C. is calculated. Line A is then determined as the horizontal line (parallel to the x axis) passing through said value of LogE′. Line D is determined as the tangent to the inflection point of the DMA curve in the oblique portion “d” of said curve. The inflection point and the inclination of the tangent in that point are determined by means of the first derivative of the DMA curve; the abscissa of the minimum point of the derivative curve gives the respective abscissa of the inflection point on the DMA curve, while the ordinate gives the inclination (angular coefficient) of the tangent line in said inflection point. The derivative curve has been determined by calculating the derivative of each experimental point of the DMA curve and then fitting these points by means of a 6^(th) degree polynomial curve in the range ±20/−40° C. around the minimum calculated derivative points.

Similarly, also the Th has been determined as the intersection point of line B with line D(see FIG. 1). Une D is as above determined, while line B is determined by interpolating the points of the DMA curve in the plateau region of the rubbery state in the following manner. First of all, the median value of logE′ in the region from 20° C. to 40° C. is calculated. Line B is then determined as the horizontal line (parallel to the x axis) passing through said median value of LogE′.

Manufacturing of Optical Fibers

All the optical fibers used in the present experimental section has been manufactured according to standard drawing techniques, by applying a first (primary) coating composition on the drawn optical fiber, curing said coating composition and subsequently applying the secondary coating layer and curing it. The fiber is drawn at a speed of about 20 m/s and the cure degree of the coating layers is of at least 90%. The cure degree is determined by means of MICRO-FTIR technique, by determining the percentage of the reacted acrylate instaurations in the final cross-linked resin with respect to the initial photo-curable composition (e.g. as described in WO 98/50317).

Microbending Tests

Microbending effects on optical fibers were determined by the “expandable drum method” as described, for example, in G. Grasso and F. Meli “Microbending losses of cabled single-mode fibers”, ECOC '88 pp 52-ff, or as defined by IEC standard 62221 (Optical fibers—Measurement methods—Microbending sensitivity—Method A, Expandable drum; October 2001). The test is performed by winding a 100 m length fiber with a tension of 55 g on a 300 mm diameter expandable metallic bobbin, coated with rough material (3M Imperial® PSA-grade 40 μm).

The bobbin is connected with a personal computer which controls:

-   -   the expansion of the bobbin (in terms of variation of fiber         length); and     -   the fiber transmission loss.

The bobbin is then gradually expanded while monitoring fiber transmission loss versus fiber strain.

The pressure exerted onto the fiber is calculated from the fiber elongation by the following formula: $p = \frac{E\quad A\quad ɛ}{R}$ where E is the elastic modulus of glass, A the area of the coated fiber and R the bobbin radius.

For each optical fiber, the MAC has been determined as follows: ${MAC} = \frac{MFD}{\lambda_{co}}$ where MFD (mode field diameter according Petermann definition) at 1550 nm and λ_(co) (lambda fiber cutoff−2 m length) are determined according to standard ITUT G650. 

1-8. (canceled)
 9. An optical fiber comprising an internal glass portion, a first coating layer surrounding said glass portion and a second coating layer surrounding said first coating layer, wherein said first coating layer is formed from a cured polymeric material obtained by curing a radiation curable composition comprising a radiation curable oligomer comprising a backbone derived from polypropylene glycol and a dimer acid based polyester polyol, said cured polymeric material having: a) a hardening temperature (Th) from −10° C. to about −20° C. and a modulus measured at said Th lower than 5.0 MPa; or b) a hardening temperature (Th) from −20° C. to about −30° C. and a modulus measured at said Th lower than 20.0 MPa; or c) a hardening temperature (Th) lower than about −30° C. and a modulus measured at said Th lower than 70.0 MPa.
 10. The optical fiber according to claim 9, wherein said material forming said coating layer has: a) a hardening temperature (Th) from −10° C. to about −20° C. and a modulus measured at said Th lower than 4.0 MPa; or b) a hardening temperature (Th) from −20° C. to about −30° C. and a modulus measured at said Th lower than 15.0 MPa; or c) a hardening temperature (Th) lower than about −30° C. and a modulus measured at said Th lower than 50.0 MPa.
 11. The optical fiber according to claim 9, wherein said polymeric material has an equilibrium modulus lower than about 1.5 MPa.
 12. The optical fiber according to claim 9, wherein said polymeric material has an equilibrium modulus lower than about 1.5 Mpa.
 13. The optical fiber according to claim 9, wherein said polymeric material has an equilibrium modulus lower than about 1.3 Mpa.
 14. The optical fiber according to claim 9, wherein the polymeric material has a glass transition temperature not higher than about −30° C.
 15. The optical fiber according to claim 9, wherein the polymeric material has a glass transition temperature not higher than about −40° C.
 16. The optical fiber according to claim 9, wherein the polymeric material has a glass transition temperature not higher than about −50° C. 